Real-World Applications

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Presentation transcript:

Real-World Applications EQ: How do you solve a right triangle? M2 Unit 2: Day 7

Example 1: You are hiking up a mountain peak. You begin hiking at a trailhead whose elevation is about 9400 ft. The trail ends near the summit at 14,255 ft. The horizontal distance between these two points is about 17,625 ft. Estimate the angle of elevation from the trailhead to the summit.

Example 2: a. Convert 20 ft to in b. To minimize horizontal distance use the greatest possible ramp angle

Example 3: MONSTER TRUCKS A monster truck drives off a ramp in order to jump onto a row of cars. The ramp has a height of 14 feet and a horizontal length of 26 feet. What is the angle θ of the ramp? Round your answer to the nearest integer, if necessary. 14 ft 26 ft

EXAMPLE 5 Find leg lengths using an angle of elevation Example 4 SKATEBOARD RAMP You want to build a skateboard ramp with a length of 14 feet and an angle of elevation of 26°. You need to find the height and length of the base of the ramp. Find the height. Find the length of the base. sin 26o = opp. hyp. cos 26o = adj. hyp. sin 26o x = 14 cos 26o y = 14 = y 14 cos 26o 14 sin 26o = x 6.1 x 12.6 y The height is about 6.1 feet. The length of the base is about 12.6 feet. 5

Using Pythagorean Theorem Find the length of the missing side 11 12

Using Pythagorean Theorem Find sin 5 10

Using Pythagorean Theorem Find cos 11 15

Begin working on your Unit 2 Review